345761284252800 has 768 divisors, whose sum is σ = 1260268163925120. Its totient is φ = 82766433484800.

The previous prime is 345761284252789. The next prime is 345761284252819. The reversal of 345761284252800 is 8252482167543.

It is a super-2 number, since 2×345761284252800² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9202858015 + ... + 9202895585.

Almost surely, 2^{345761284252800} is an apocalyptic number.

345761284252800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345761284252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630134081962560).

345761284252800 is an abundant number, since it is smaller than the sum of its proper divisors (914506879672320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345761284252800 is a wasteful number, since it uses less digits than its factorization.

345761284252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39641 (or 39624 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 345761284252800 in words is "three hundred forty-five trillion, seven hundred sixty-one billion, two hundred eighty-four million, two hundred fifty-two thousand, eight hundred".